100221121332 has 36 divisors (see below), whose sum is σ = 253409075556. Its totient is φ = 33397499520.

The previous prime is 100221121303. The next prime is 100221121337. The reversal of 100221121332 is 233121122001.

100221121332 is a `hidden beast` number, since 100 + 2 + 211 + 21 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94128694416 + 6092426916 = 306804^2 + 78054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100221121332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221121337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269169 + ... + 522392.

Almost surely, 2^100221121332 is an apocalyptic number.

100221121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221121332 is an abundant number, since it is smaller than the sum of its proper divisors (153187954224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221121332 is a wasteful number, since it uses less digits than its factorization.

100221121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795088 (or 795083 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100221121332 its reverse (233121122001), we get a palindrome (333342243333).

The spelling of 100221121332 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty-two".